{"results":"
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Instructional Video9:26
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\n\"Calculus:\n\n
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\nKhan Academy\n
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\nCalculus: Derivatives 1\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...\n
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Instructional Video8:35
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\n\"Calculus:\n\n
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\nKhan Academy\n
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\nCalculus: Derivatives 2 (New HD Version)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal continues where he left off with the last video, \"Derivatives 1, Ó by looking at the equation y = x2 and examining the slope of the second line at a specific point. He continues defining the limit as x approaches zero to get the...\n
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Instructional Video11:05
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\n\"The\n\n
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\nKhan Academy\n
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\nThe derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nBy defining the formal definition of a derivative, f(x), Sal can find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.\n
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Instructional Video9:32
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\n\"Calculus:\n\n
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\nKhan Academy\n
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\nCalculus: Derivatives 2\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal continues where he left off with the last video, \"Derivatives 1, Ó by looking at the equation y = x^2 and examining the slope of the second line at a specific point, and again defining the limit as x approaches zero to get the slope...\n
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Instructional Video8:07
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\n\"Equation\n\n
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\nKhan Academy\n
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\nEquation of a Tangent Line, Taking Derivatives, Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUsing a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...\n
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Instructional Video11:32
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\n\"Introduction\n\n
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\nKhan Academy\n
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\nIntroduction to Limits, Limits, Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...\n
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Instructional Video5:07
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\n\"Proof:\n\n
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\nKhan Academy\n
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\nProof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUsing the definition of a limit, Sal proves that the derivative of x or x1/2 equals _ x-1/2.\n
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Instructional Video8:58
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\n\"Limit\n\n
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\nKhan Academy\n
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\nLimit Examples (Part 1), Limits, Differential Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nOne example is finding the limit as x approaches -1 of (2x+2)/(x+1), solved by simplifying the expression and then explored intuitively by looking at the left and right-hand limits. The second example of finding the limit as x approaches...\n
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eBook
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\n\"Calculus\n\n
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\nRice University\n
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\nCalculus Volume 3\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nSee calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...\n
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PPT
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\n\"Calculus\n\n
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\nCurated OER\n
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\nCalculus 4.4 - Modeling and Optimization\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nLooking for an interractive presentation for your high schoolers dealing with calculus? Then this PowerPoint is for you! Problems that cover area, volume, and other calculus-related topics are presented. Students are led through the...\n
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PPT
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\n\"Calculus\n\n
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\nCurated OER\n
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\nCalculus 10.1 - Parametric Functions\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nHere is a high-level, interractive presentation on calculus for your high schoolers. Parametric equations, derivatives, functions, and the Pythagorean Theorem are all part of this fine PowerPoint. Additionally, two interesting...\n
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eBook
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\n\"Calculus\n\n
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\nWhitman College\n
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\nCalculus - Early Transcendentals\n

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\n\nFor Teachers\n\n9th - Higher Ed\n\nStandards\n
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\nThis textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...\n
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AP Test Prep16:40
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - The Fundamental Theorem of Calculus and Definite Integrals\n

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\n\nFor Students\n\n10th - 12th\n
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\nLearning about definite integrals is fundamental to any calculus course. The eighth of 16 parts in Unit 6 - Integration focuses on the Fundamental Theorem of Calculus. Scholars first see how to find antiderivatives, then discover how to...\n
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AP Test Prep
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\n\"2004\n\n
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\nCollege Board\n
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\n2004 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nDevelop a deeper understanding of calculus. The released item and support materials allows teachers and pupils to dig deeper into calculus topics. Scholars use the commentary and descriptions of the items to gain a better understanding...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2009\n\n
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\nCollege Board\n
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\n2009 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nGet a free peek into a calculus exam. Released free-response items from the AP® Calculus AB exam provide teachers and pupils examples of how topics may appear. The six questions cover topics such as growth rates, volumes of rotations,...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2003\n\n
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\nCollege Board\n
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\n2003 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nGet a better grasp of the intended content. The six free-response questions provide insight into the purpose of the AP® Calculus content. Two questions have real-world context while the remaining are void of context. The items range from...\n
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AP Test Prep
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\n\"2005\n\n
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\nCollege Board\n
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\n2005 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nGrab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2002\n\n
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\nCollege Board\n
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\n2002 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nBecome better at the test concepts. An educational resource presents six free-response questions from the AP® Calculus AB exam. Pupils use the items to practice the content, which contains concepts ranging from particle motion to ships...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video11:57
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\n\"Part\n\n
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\nKrista King Math\n
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\nPart 1 of the Dreaded Fundamental Theorem of Calculus!\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nUse the Fundamental Theorem of Calculus to find a derivative. With an example, pupils observe how being to derive a formula to help determine the derivative of any given integral. The video derives the formula using the first part of the...\n
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AP Test Prep11:54
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1
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nConnect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...\n
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AP Test Prep
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\n\"2001\n\n
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\nCollege Board\n
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\n2001 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nTake a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2003\n\n
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\nCollege Board\n
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\n2003 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nTake a free look. Released free-response questions from the 2003 AP® Calculus AB exam show how questions cover different topics. Pupils and teachers review the topics of bounded regions, particle movement, rates, relationships between...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2002\n\n
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\nCollege Board\n
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\n2002 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nWhere do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...\n
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\n\nGet Free Access\n\nSee Review\n
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AP Test Prep
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\n\"2002\n\n
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\nCollege Board\n
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\n2002 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nPeek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...\n
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\n\nGet Free Access\n\nSee Review\n
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